Information on Result #700333
Linear OA(25668, 65541, F256, 34) (dual of [65541, 65473, 35]-code), using construction X applied to Ce(33) ⊂ Ce(31) based on
- linear OA(25667, 65536, F256, 34) (dual of [65536, 65469, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(32109, 65541, S32, 34) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6491, 65541, S64, 34) | [i] | ||
| 3 | OA(12878, 65541, S128, 34) | [i] | ||
| 4 | Linear OOA(25668, 32770, F256, 2, 34) (dual of [(32770, 2), 65472, 35]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(25668, 21847, F256, 3, 34) (dual of [(21847, 3), 65473, 35]-NRT-code) | [i] | ||
| 6 | Linear OOA(25668, 16385, F256, 4, 34) (dual of [(16385, 4), 65472, 35]-NRT-code) | [i] | ||
| 7 | Linear OOA(25668, 13108, F256, 5, 34) (dual of [(13108, 5), 65472, 35]-NRT-code) | [i] | ||